Numerical investigations of fault propagation and forced-fold using a non smooth discrete element method

Geophysical problems as forced-fold evolution and fault propagation induce large deformations and many localisation. The continuum mechanics does not seem the more appropriate for their description and it appears more interesting to represent the media as initially discontinuous. To face both phenomena, a non smooth Discrete Element Method is used. Geophysical structures are considered as collection of rigid disks which interact by cohesive frictional contact laws. Numerical geophysical formations are correlated to mechanical properties of structures through observation and mechanical analysis.

[1]  Simulation of wear through mass balance in a dry contact , 2005 .

[2]  Vincent Acary,et al.  Comparison of Algorithms for collisions, contact and friction in view of Real-time applications , 2005 .

[3]  Stuart Hardy,et al.  Discrete element modelling of the influence of cover strength on basement-involved fault-propagation folding , 2006 .

[4]  David Baraff,et al.  Issues in computing contact forces for non-penetrating rigid bodies , 1993, Algorithmica.

[5]  Pierre Alart,et al.  Conjugate gradient type algorithms for frictional multi-contact problems: applications to granular materials , 2005 .

[6]  Pierre Alart,et al.  A parallel version of the non smooth contact dynamics algorithm applied to the simulation of granular media , 2004 .

[7]  Y. Kishino.  Disc Model Analysis of Granular Media , 1988 .

[8]  M. Jean,et al.  Experiments and numerical simulations with 2D disks assembly , 2000 .

[9]  G. Saxcé,et al.  New Inequality and Functional for Contact with Friction: The Implicit Standard Material Approach∗ , 1991 .

[10]  Stuart Hardy,et al.  Kinematic modelling of extensional fault-propagation folding , 1999 .

[11]  Ted Belytschko,et al.  Element-free Galerkin methods for dynamic fracture in concrete , 2000 .

[12]  Pierre-Etienne Gautier,et al.  Modelling ballast behaviour under dynamic loading. Part 1: A 2D polygonal discrete element method approach , 2006 .

[13]  P. Cundall.  A computer model for simulating progressive, large-scale movements in blocky rock systems , 1971 .

[14]  Philippe Lorong,et al.  The constrained natural element method (C-NEM) for treating thermal models involving moving interfaces , 2005 .

[15]  M. Jean,et al.  Non-smooth contact dynamics approach of cohesive materials , 2001, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[16]  I. Vardoulakis,et al.  Analogue and numerical modeling of normal fault patterns produced due to slip along a detachment zone , 2003 .

[17]  Michel Saint Jean,et al.  The non-smooth contact dynamics method , 1999 .

[18]  P. A. Cundall,et al.  A Computer Model for Simulating Progressive , 1971 .

[19]  Yu-Chang Chan,et al.  Geological and morphological study of the Jiufengershan landslide triggered by the Chi-Chi Taiwan earthquake , 2005 .

[20]  J. Banavar,et al.  Computer Simulation of Liquids , 1988 .

[21]  Nina Kukowski,et al.  The impact of analogue material properties on the geometry, kinematics, and dynamics of convergent sand wedges , 2003 .

[22]  J. Braun,et al.  Numerical models of the evolution of accretionary wedges and fold-and-thrust belts using the distinct-element method , 2002 .

[23]  Pierre Alart,et al.  Numerical simulation of two-dimensional steady granular flows in rotating drum: On surface flow rheology , 2005 .

[24]  C. Brooks.  Computer simulation of liquids , 1989 .

[25]  Farhang Radjai,et al.  Rheology, force transmission, and shear instabilities in frictional granular media from biaxial numerical tests using the contact dynamics method , 2005 .

[26]  J. Moreau,et al.  Unilateral Contact and Dry Friction in Finite Freedom Dynamics , 1988 .

[27]  Stuart Hardy,et al.  Discrete element modelling of contractional fault-propagation folding above rigid basement fault blocks , 2003 .

[28]  P. Alart,et al.  A mixed formulation for frictional contact problems prone to Newton like solution methods , 1991 .

[29]  J C Charmet,et al.  Model for granular texture with steric exclusion. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Yves Berthier,et al.  Solid Third Body Analysis Using a Discrete Approach: Influence of Adhesion and Particle Size on Macroscopic Properties , 2002 .

[31]  M. King Hubbert,et al.  MECHANICAL BASIS FOR CERTAIN FAMILIAR GEOLOGIC STRUCTURES , 1951 .

[32]  Alan T. Zehnder,et al.  Mechanical models of fault propagation folds and comparison to the trishear kinematic model , 2003 .

[33]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .